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Validation and analysis of turbulence modeling in pipe elbow under secondary flow conditions

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Abstract

The present work proposes to analyze the performance of five eddy-viscosity turbulence models in predicting an internal single-phase incompressible turbulent flow through an elbow pipe. Validation is achieved by comparison with LES and experimental benchmark results. Particular emphasis is placed in the study of the velocity fields under challenging conditions in terms of turbulence modeling. Ultimately, the analysis aims to determine the most adequate model among the analyzed ones in terms of accuracy, envisioning further application in multiphase flows. Results show that the SST closure is the most appropriate turbulence model to predict the velocity profile in regions of significant streamline curvature, whereas, in the presence of high adverse pressure gradients, the most appropriate one is the realizable \(k-\epsilon\) model. Furthermore, a quantitative analysis suggests that a modification to the \(F_{1}\) blending function in the SST model may improve the mean velocity agreement with LES benchmark results in the near-wall region located downstream of the bend.

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Acknowledgements

The authors acknowledge Petrobras for funding the Flushing Project (CENPES/PDDP/TFCM-SEQUI Project No. 2018/00017-4) and the National Laboratory for Scientific Computing (LNCC/MCTI, Brazil) for providing HPC resources of the SDumont supercomputer, which have contributed to the research results reported within this paper.

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Correspondence to Ana Cristina Neves Carloni.

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Carloni, A.C.N., Conde, K.E.d., Pantaleão, A.V. et al. Validation and analysis of turbulence modeling in pipe elbow under secondary flow conditions. J Braz. Soc. Mech. Sci. Eng. 44, 595 (2022). https://doi.org/10.1007/s40430-022-03899-9

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